메뉴 건너뛰기




Volumn 26, Issue 11, 2007, Pages 1483-1499

Diffusion tensor analysis with invariant gradients and rotation tangents

Author keywords

Diffusion tensor magnetic resonance imaging (MRI); Fourth order covariance tensor; Tensor feature detection; Tensor invariants; Third order gradient tensor

Indexed keywords

ANISOTROPY; DEGREES OF FREEDOM (MECHANICS); DIFFUSION; MAGNETIC RESONANCE IMAGING; PARAMETER ESTIMATION; TISSUE;

EID: 35649023697     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2007.907277     Document Type: Article
Times cited : (60)

References (88)
  • 1
    • 0028398052 scopus 로고
    • Estimation of the effective self-diffusion tensor from the NMR spin-echo
    • P. J. Basser, J. Mattiello, and D. LeBihan, "Estimation of the effective self-diffusion tensor from the NMR spin-echo," J. Magn. Reson., Series B, vol. 103, no. 3, pp. 247-254, 1994.
    • (1994) J. Magn. Reson., Series B , vol.103 , Issue.3 , pp. 247-254
    • Basser, P.J.1    Mattiello, J.2    LeBihan, D.3
  • 2
    • 0029828575 scopus 로고    scopus 로고
    • Diffusion tensor MR imaging of the human brain
    • Dec
    • C. Pierpaoli, P. Jezzard, P. J. Basser, A. Barnett, and G. DiChiro, "Diffusion tensor MR imaging of the human brain," Radiology, vol. 201, no. 3, pp. 637-648, Dec 1996.
    • (1996) Radiology , vol.201 , Issue.3 , pp. 637-648
    • Pierpaoli, C.1    Jezzard, P.2    Basser, P.J.3    Barnett, A.4    DiChiro, G.5
  • 3
    • 0033758190 scopus 로고    scopus 로고
    • Microstructure of temporo-parietal white matter as a basis for reading ability: Evidence from diffusion tensor magnetic resonance imaging
    • T. Klingberg, M. Hedehus, E. Temple, T. Salz, J. D. E. Gabrielli, M. E. Moseley, and R. A. Poldrack, "Microstructure of temporo-parietal white matter as a basis for reading ability: Evidence from diffusion tensor magnetic resonance imaging," Neuron, vol. 25, pp. 493-500, 2000.
    • (2000) Neuron , vol.25 , pp. 493-500
    • Klingberg, T.1    Hedehus, M.2    Temple, E.3    Salz, T.4    Gabrielli, J.D.E.5    Moseley, M.E.6    Poldrack, R.A.7
  • 6
    • 29744435272 scopus 로고    scopus 로고
    • Principal diffusion direction in peritumoral fiber tracts
    • A. S. Field, Y.-C. Wu, and A. L. Alexander, "Principal diffusion direction in peritumoral fiber tracts," Ann. NY Acad. Sci., vol. 1064, pp. 193-201, 2005.
    • (2005) Ann. NY Acad. Sci , vol.1064 , pp. 193-201
    • Field, A.S.1    Wu, Y.-C.2    Alexander, A.L.3
  • 8
    • 24744443289 scopus 로고    scopus 로고
    • Choice reaction time performance correlates with diffusion anisotropy in white matter pathways supporting visuospatial attention
    • D. S. Tuch, D. H. Salat, J. J. Wisco, A. K. Zaleta, N. D. Hevelone, and H. D. Rosas, "Choice reaction time performance correlates with diffusion anisotropy in white matter pathways supporting visuospatial attention," Proc. Nat. Acad. Sci., vol. 102, no. 34, pp. 12212-12217, 2005.
    • (2005) Proc. Nat. Acad. Sci , vol.102 , Issue.34 , pp. 12212-12217
    • Tuch, D.S.1    Salat, D.H.2    Wisco, J.J.3    Zaleta, A.K.4    Hevelone, N.D.5    Rosas, H.D.6
  • 9
  • 12
    • 0036868705 scopus 로고    scopus 로고
    • The role of diffusion tensor imaging in the evaluation of ischemic brain injury-A review
    • C. H. Sotak, "The role of diffusion tensor imaging in the evaluation of ischemic brain injury-A review," Nucl. Magn. Reson. Biomed., vol. 15, pp. 561-569, 2002.
    • (2002) Nucl. Magn. Reson. Biomed , vol.15 , pp. 561-569
    • Sotak, C.H.1
  • 13
    • 0029403019 scopus 로고
    • Inferring microstructural features and the physiological state of tissues from diffusion-weighted images
    • P. J. Basser, "Inferring microstructural features and the physiological state of tissues from diffusion-weighted images," Nucl. Magn. Reson. Biomed., vol. 8, pp. 333-344, 1995.
    • (1995) Nucl. Magn. Reson. Biomed , vol.8 , pp. 333-344
    • Basser, P.J.1
  • 14
    • 0036868692 scopus 로고    scopus 로고
    • The basis of anisotropic water diffusion in the nervous system-A technical review
    • C. Beaulieu, "The basis of anisotropic water diffusion in the nervous system-A technical review," Nucl. Magn. Reson. Biomed., vol. 15, pp. 435-455, 2002.
    • (2002) Nucl. Magn. Reson. Biomed , vol.15 , pp. 435-455
    • Beaulieu, C.1
  • 15
    • 0035166631 scopus 로고    scopus 로고
    • Validation of diffusion tensor magnetic resonance axonal fiber imaging with registered manganese-enhanced optic tracts
    • C.-P. Lin, W.-Y. I. Tseng, H.-C. Cheng, and J.-H. Chen, "Validation of diffusion tensor magnetic resonance axonal fiber imaging with registered manganese-enhanced optic tracts," NeuroImage, vol. 14, pp. 1035-1047, 2001.
    • (2001) NeuroImage , vol.14 , pp. 1035-1047
    • Lin, C.-P.1    Tseng, W.-Y.I.2    Cheng, H.-C.3    Chen, J.-H.4
  • 16
    • 33750233426 scopus 로고    scopus 로고
    • 3D histological reconstruction of fiber tracts and direct comparison with diffusion tensor MRI tractography
    • Copenhagen, Denmark, Oct
    • J. Dauguet, S. Peled, V. Berezovskii, T. Delzescaux, S. K. Warfield, R. Born, and C.-F. Westin, "3D histological reconstruction of fiber tracts and direct comparison with diffusion tensor MRI tractography," in Proc. MICCAI 2006, Copenhagen, Denmark, Oct. 2006, pp. 109-116.
    • (2006) Proc. MICCAI 2006 , pp. 109-116
    • Dauguet, J.1    Peled, S.2    Berezovskii, V.3    Delzescaux, T.4    Warfield, S.K.5    Born, R.6    Westin, C.-F.7
  • 17
    • 0031805894 scopus 로고    scopus 로고
    • Magnetic resonance myocardial fiber-orientation mapping with direct histological correlation
    • E. W. Hsu, A. L. Muzikant, S. A. Matulevicius, R. C. Penland, and C. S. Henriquez, "Magnetic resonance myocardial fiber-orientation mapping with direct histological correlation," Amer. J. Physiol., vol. 274, pp. 1627-1634, 1998.
    • (1998) Amer. J. Physiol , vol.274 , pp. 1627-1634
    • Hsu, E.W.1    Muzikant, A.L.2    Matulevicius, S.A.3    Penland, R.C.4    Henriquez, C.S.5
  • 18
    • 0032417193 scopus 로고    scopus 로고
    • Histological validation of myocardial microstructure obtained from diffusion tensor magnetic resonance imaging
    • D. F. Scollan, A. Holmes, R. Winslow, and J. Forder, "Histological validation of myocardial microstructure obtained from diffusion tensor magnetic resonance imaging," Amer. J. Physiol., vol. 275, pp. 2308-2318, 1998.
    • (1998) Amer. J. Physiol , vol.275 , pp. 2308-2318
    • Scollan, D.F.1    Holmes, A.2    Winslow, R.3    Forder, J.4
  • 19
    • 11144352733 scopus 로고    scopus 로고
    • Similarity measures for matching diffusion tensor images
    • Nottingham, U.K, Sep
    • D. Alexander, J. Gee, and R. Bajcsy, "Similarity measures for matching diffusion tensor images," in Proc. Brit. Mach. Vis. Conf. (BMVC), Nottingham, U.K., Sep. 1999, pp. 93-102.
    • (1999) Proc. Brit. Mach. Vis. Conf. (BMVC) , pp. 93-102
    • Alexander, D.1    Gee, J.2    Bajcsy, R.3
  • 20
    • 5044224015 scopus 로고    scopus 로고
    • Registration of diffusion tensor images
    • Jun
    • H. Zhang, P. A. Yushkevich, and J. C. Gee, "Registration of diffusion tensor images," in Proc. CVPR 2004, Jun. 2004, vol. 1, pp. 842-847.
    • (2004) Proc. CVPR 2004 , vol.1 , pp. 842-847
    • Zhang, H.1    Yushkevich, P.A.2    Gee, J.C.3
  • 22
    • 5044237236 scopus 로고    scopus 로고
    • An affine invariant tensor dissimilarity measure and its applications to tensor-valued image segmentation
    • Z. Wang and B. C. Vemuri, "An affine invariant tensor dissimilarity measure and its applications to tensor-valued image segmentation," in Proc. CVPR 2004, 2004, vol. 1, pp. 228-233.
    • Proc. CVPR 2004, 2004 , vol.1 , pp. 228-233
    • Wang, Z.1    Vemuri, B.C.2
  • 24
    • 0041737567 scopus 로고    scopus 로고
    • Automatic segmentation of thalamic nuclei from diffusion tensor magnetic resonance imaging
    • Jun
    • M. R. Wiegell, D. S. Tuch, H. B. W. Larsson, and V. J. Wedeen, "Automatic segmentation of thalamic nuclei from diffusion tensor magnetic resonance imaging," NeuroImage, vol. 19, pp. 391-401, Jun. 2003.
    • (2003) NeuroImage , vol.19 , pp. 391-401
    • Wiegell, M.R.1    Tuch, D.S.2    Larsson, H.B.W.3    Wedeen, V.J.4
  • 26
    • 33746641405 scopus 로고    scopus 로고
    • DTI segmentation by statistical surface evolution
    • Jun
    • C. Lenglet, M. Rousson, and R. Deriche, "DTI segmentation by statistical surface evolution," IEEE Trans. Med Imag., vol. 25, no. 6, pp. 685-700, Jun. 2006.
    • (2006) IEEE Trans. Med Imag , vol.25 , Issue.6 , pp. 685-700
    • Lenglet, C.1    Rousson, M.2    Deriche, R.3
  • 28
    • 0003060197 scopus 로고
    • A fast operator for detection and precise location of distinct points, corners and centres of cicular features
    • Interlaken, Switzerland, Jun
    • W. Förstner and E. Gillch, "A fast operator for detection and precise location of distinct points, corners and centres of cicular features," in Proc. ISPRS Intercommission Conf. Fast Process. Photogrammetric Data, Interlaken, Switzerland, Jun. 1987, pp. 281-305.
    • (1987) Proc. ISPRS Intercommission Conf. Fast Process. Photogrammetric Data , pp. 281-305
    • Förstner, W.1    Gillch, E.2
  • 29
    • 0023171692 scopus 로고
    • Optimal orientation detection of linear symmetry
    • London, U.K, Jun
    • J. Bigün and G. H. Granlund, "Optimal orientation detection of linear symmetry," in Proc. IEEE 1st Int. Conf. Comput. Vision, London, U.K., Jun. 1987, pp. 433-438.
    • (1987) Proc. IEEE 1st Int. Conf. Comput. Vision , pp. 433-438
    • Bigün, J.1    Granlund, G.H.2
  • 32
    • 33646872018 scopus 로고    scopus 로고
    • Curvature-driven PDE methods for matrix-valued images
    • Aug
    • C. Feddern, J. Weickert, B. Burgeth, and M. Welk, "Curvature-driven PDE methods for matrix-valued images,"Int. J. Comput. Vis., vol. 69, no. 1, pp. 93-107, Aug. 2006.
    • (2006) Int. J. Comput. Vis , vol.69 , Issue.1 , pp. 93-107
    • Feddern, C.1    Weickert, J.2    Burgeth, B.3    Welk, M.4
  • 34
    • 0036295606 scopus 로고    scopus 로고
    • A continuous tensor field approximation of discrete DT-MRI data for extracting microstructural and architectural features of tissue
    • S. Pajevic, A. Aldroubi, and P. J. Basser, "A continuous tensor field approximation of discrete DT-MRI data for extracting microstructural and architectural features of tissue," J. Magn. Reson., vol. 154, pp. 85-100, 2002.
    • (2002) J. Magn. Reson , vol.154 , pp. 85-100
    • Pajevic, S.1    Aldroubi, A.2    Basser, P.J.3
  • 35
    • 33747816098 scopus 로고    scopus 로고
    • Deformable registration of diffusion tensor MR images with explicit orientation optimization
    • Oct
    • H. Zhang, P. A. Yushkevich, D. C. Alexander, and J. C. Gee, "Deformable registration of diffusion tensor MR images with explicit orientation optimization," Med. Image Anal., vol. 10, no. 5, pp. 764-785, Oct. 2006.
    • (2006) Med. Image Anal , vol.10 , Issue.5 , pp. 764-785
    • Zhang, H.1    Yushkevich, P.A.2    Alexander, D.C.3    Gee, J.C.4
  • 36
  • 37
    • 0043028196 scopus 로고    scopus 로고
    • A normal distribution for tensor-valued random variables: Applications to diffusion tensor MRI
    • Jul
    • P. J. Basser and S. Pajavic, "A normal distribution for tensor-valued random variables: Applications to diffusion tensor MRI," IEEE Trans. Med. Imag., vol. 22, no. 7, pp. 785-794, Jul. 2003.
    • (2003) IEEE Trans. Med. Imag , vol.22 , Issue.7 , pp. 785-794
    • Basser, P.J.1    Pajavic, S.2
  • 38
    • 33750978683 scopus 로고    scopus 로고
    • Spectral decomposition of a 4th-order covariance tensor: Applications to diffusion tensor MRI
    • P. J. Basser and S. Pajevic, "Spectral decomposition of a 4th-order covariance tensor: Applications to diffusion tensor MRI," Signal Process., vol. 87, pp. 220-236, 2007.
    • (2007) Signal Process , vol.87 , pp. 220-236
    • Basser, P.J.1    Pajevic, S.2
  • 39
    • 33746718728 scopus 로고    scopus 로고
    • Statistics on the manifold of multivariate normal distributions: Theory and application to diffusion tensor MRI processing
    • C. Lenglet, M. Rousson, R. Deriche, and O. Faugeras, "Statistics on the manifold of multivariate normal distributions: Theory and application to diffusion tensor MRI processing," J. Math. Imag. Vis., vol. 25, no. 3, pp. 423-444, 2006.
    • (2006) J. Math. Imag. Vis , vol.25 , Issue.3 , pp. 423-444
    • Lenglet, C.1    Rousson, M.2    Deriche, R.3    Faugeras, O.4
  • 41
    • 30344463825 scopus 로고    scopus 로고
    • Orthogonal tensor invariants and the analysis of diffusion tensor magnetic resonance images
    • D. B. Ennis and G. Kindlmann, "Orthogonal tensor invariants and the analysis of diffusion tensor magnetic resonance images," Magn. Reson. Med., vol. 55, no. 1, pp. 136-146, 2006.
    • (2006) Magn. Reson. Med , vol.55 , Issue.1 , pp. 136-146
    • Ennis, D.B.1    Kindlmann, G.2
  • 43
  • 47
    • 0034559428 scopus 로고    scopus 로고
    • An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity
    • J. C. Criscione, J. D. Humphrey, A. S. Douglas, and W. C. Hunter, "An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity," J. Mechan. Phys. Solids, vol. 48, pp. 2445-2465, 2000.
    • (2000) J. Mechan. Phys. Solids , vol.48 , pp. 2445-2465
    • Criscione, J.C.1    Humphrey, J.D.2    Douglas, A.S.3    Hunter, W.C.4
  • 48
    • 0002890617 scopus 로고    scopus 로고
    • Invariant and orthonormal scalar measures derived from magnetic resonance diffusion tensor imaging
    • M. M. Bahn, "Invariant and orthonormal scalar measures derived from magnetic resonance diffusion tensor imaging," J. Magn. Reson., vol. 141, pp. 68-77, 1999.
    • (1999) J. Magn. Reson , vol.141 , pp. 68-77
    • Bahn, M.M.1
  • 49
    • 3242725278 scopus 로고    scopus 로고
    • Diffusion tensor imaging detects early Wallerian degeneration of the pyramidal tract after ischemic stroke
    • Aug
    • G. Thomalla, V. Glauche, M. A. Koch, C. Beaulieu, C. Weiller, and J. Röther, "Diffusion tensor imaging detects early Wallerian degeneration of the pyramidal tract after ischemic stroke," NeuroImage, vol. 22, no. 4, pp. 1767-1774, Aug. 2004.
    • (2004) NeuroImage , vol.22 , Issue.4 , pp. 1767-1774
    • Thomalla, G.1    Glauche, V.2    Koch, M.A.3    Beaulieu, C.4    Weiller, C.5    Röther, J.6
  • 51
    • 2942739004 scopus 로고    scopus 로고
    • Diffusion-tensor MR imaging of intracranial neoplasia and associated peritumoral edema: Introduction of the tumor infiltration index
    • Jul
    • S. Lu, D. Ahn, G. Johnson, M. Law, D. Zagzag, and R. I. Grossman, "Diffusion-tensor MR imaging of intracranial neoplasia and associated peritumoral edema: Introduction of the tumor infiltration index," Neuroradiology, vol. 232, no. 1, pp. 221-228, Jul. 2004.
    • (2004) Neuroradiology , vol.232 , Issue.1 , pp. 221-228
    • Lu, S.1    Ahn, D.2    Johnson, G.3    Law, M.4    Zagzag, D.5    Grossman, R.I.6
  • 56
    • 0036319801 scopus 로고    scopus 로고
    • Detection and modeling of non-gaussian apparent diffusion coefficients profiles in human brain data
    • D. C. Alexander, G. J. Barker, and S. R. Arridge, "Detection and modeling of non-gaussian apparent diffusion coefficients profiles in human brain data," Magn. Reson. Med., vol. 48, pp. 331-340, 2002.
    • (2002) Magn. Reson. Med , vol.48 , pp. 331-340
    • Alexander, D.C.1    Barker, G.J.2    Arridge, S.R.3
  • 58
    • 0033693420 scopus 로고    scopus 로고
    • Fiber crossing in human brain depicted with diffusion tensor MR imaging
    • Dec
    • M. R. Wiegell, H. B. W. Larsson, and V. J. Wedeen, "Fiber crossing in human brain depicted with diffusion tensor MR imaging," Radiology, vol. 217, no. 3, pp. 897-903, Dec. 2000.
    • (2000) Radiology , vol.217 , Issue.3 , pp. 897-903
    • Wiegell, M.R.1    Larsson, H.B.W.2    Wedeen, V.J.3
  • 59
    • 0036787434 scopus 로고    scopus 로고
    • High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity
    • D. S. Tuch, T. G. Reese, M. R. Wiegell, N. Makris, J. W. Belliveau, and V. J. Wedeen, "High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity," Magn. Reson. Med., vol. 48, pp. 577-582, 2002.
    • (2002) Magn. Reson. Med , vol.48 , pp. 577-582
    • Tuch, D.S.1    Reese, T.G.2    Wiegell, M.R.3    Makris, N.4    Belliveau, J.W.5    Wedeen, V.J.6
  • 60
    • 0036869232 scopus 로고    scopus 로고
    • Diffusion-tensor MRI: Theory, experimental design and data analysis-A technical review
    • P. J. Basser and D. K. Jones, "Diffusion-tensor MRI: Theory, experimental design and data analysis-A technical review," Nucl. Magn. Reson. Biomed., vol. 15, pp. 456-467, 2002.
    • (2002) Nucl. Magn. Reson. Biomed , vol.15 , pp. 456-467
    • Basser, P.J.1    Jones, D.K.2
  • 63
    • 35048879816 scopus 로고    scopus 로고
    • Principal geodesic analysis on symmetric spaces: Statistics of diffusion tensors
    • Proceedings ECCV 2004 Workshop Comput. Vision Approaches to Medical Image Analysis CVAMIA, New York: Springer-Verlag
    • P. T. Fletcher and S. Joshi, "Principal geodesic analysis on symmetric spaces: Statistics of diffusion tensors," in Proceedings ECCV 2004 Workshop Comput. Vision Approaches to Medical Image Analysis (CVAMIA). New York: Springer-Verlag, 2004, vol. 31107, Lecture Notes Computer Science, pp. 87-98.
    • (2004) Lecture Notes Computer Science , vol.31107 , pp. 87-98
    • Fletcher, P.T.1    Joshi, S.2
  • 65
    • 29344452228 scopus 로고    scopus 로고
    • A riemannian framework for tensor computing
    • Jan
    • X. Pennec, P. Fillard, and N. Ayache, "A riemannian framework for tensor computing," Int. J. Comput. Vis., vol. 66, no. 1, pp. 41-66, Jan. 2006.
    • (2006) Int. J. Comput. Vis , vol.66 , Issue.1 , pp. 41-66
    • Pennec, X.1    Fillard, P.2    Ayache, N.3
  • 66
    • 33746724078 scopus 로고    scopus 로고
    • Log-Euclidean metrics for fast and simple calculus on diffusion tensors
    • Aug
    • V. Arsigny, P. Fillard, X. Pennec, and N. Ayache, "Log-Euclidean metrics for fast and simple calculus on diffusion tensors," Magn. Reson. Med., vol. 56, no. 2, pp. 411-421, Aug. 2006.
    • (2006) Magn. Reson. Med , vol.56 , Issue.2 , pp. 411-421
    • Arsigny, V.1    Fillard, P.2    Pennec, X.3    Ayache, N.4
  • 67
    • 33845461591 scopus 로고    scopus 로고
    • Flexible segmentation and smoothing of DT-MRI fields through a customizable structure tensor
    • Advances in Visual Computing Proceedings of the Second International Symposium on Visual Computing, New York: Springer
    • T. Schultz, B. Burgeth, and J. Weickert, "Flexible segmentation and smoothing of DT-MRI fields through a customizable structure tensor," in Advances in Visual Computing (Proceedings of the Second International Symposium on Visual Computing). New York: Springer, 2006, vol. 4291, Lecture Notes in Computer Science.
    • (2006) Lecture Notes in Computer Science , vol.4291
    • Schultz, T.1    Burgeth, B.2    Weickert, J.3
  • 68
    • 33846043073 scopus 로고    scopus 로고
    • Variance of estimated DTI-derived parameters via first-order perturbation methods
    • L.-C. Chang, C. G. Koay, C. Pierpaoli, and P. J. Basser, "Variance of estimated DTI-derived parameters via first-order perturbation methods," Magn. Reson. Med., vol. 57, pp. 141-149, 2007.
    • (2007) Magn. Reson. Med , vol.57 , pp. 141-149
    • Chang, L.-C.1    Koay, C.G.2    Pierpaoli, C.3    Basser, P.J.4
  • 70
    • 34547604129 scopus 로고    scopus 로고
    • Analytical expressions for noise propagation in diffusion tensor imaging
    • Y. Shen, I. Pu, and C. Clark, "Analytical expressions for noise propagation in diffusion tensor imaging," in Proc. ISMRM 2006, 2006, p. 1065.
    • (2006) Proc. ISMRM 2006 , pp. 1065
    • Shen, Y.1    Pu, I.2    Clark, C.3
  • 71
    • 1842590300 scopus 로고    scopus 로고
    • Analytical error propagaion in diffusion anisotropy calculations
    • A. H. Poonawalla and X. J. Zhou, "Analytical error propagaion in diffusion anisotropy calculations," J. Magn. Reson. Imag., vol. 19, pp. 489-498, 2004.
    • (2004) J. Magn. Reson. Imag , vol.19 , pp. 489-498
    • Poonawalla, A.H.1    Zhou, X.J.2
  • 72
    • 0035178887 scopus 로고    scopus 로고
    • Theoretical analysis of the effects of noise on diffusion tensor imaging
    • A. W. Anderson, "Theoretical analysis of the effects of noise on diffusion tensor imaging," Magn. Reson. Med., vol. 46, pp. 1174-1188, 2001.
    • (2001) Magn. Reson. Med , vol.46 , pp. 1174-1188
    • Anderson, A.W.1
  • 73
    • 0002648277 scopus 로고    scopus 로고
    • Reconstruction of vector and tensor fields from sampled discrete data
    • A. Aldroubi and P. Basser, "Reconstruction of vector and tensor fields from sampled discrete data," Contemporary Math., vol. 247, pp. 1-15, 1999.
    • (1999) Contemporary Math , vol.247 , pp. 1-15
    • Aldroubi, A.1    Basser, P.2
  • 74
    • 0027541354 scopus 로고
    • B-Spline signal processing: Part I-Theory
    • Feb
    • M. Unser, A. Aldroubi, and M. Eden, "B-Spline signal processing: Part I-Theory," IEEE Trans. Signal Process., vol. 41, no. 2, pp. 821-833, Feb. 1993.
    • (1993) IEEE Trans. Signal Process , vol.41 , Issue.2 , pp. 821-833
    • Unser, M.1    Aldroubi, A.2    Eden, M.3
  • 75
    • 0027542457 scopus 로고
    • B-Spline signal processing: Part II-efficient design and applications
    • Feb
    • M. Unser, A. Aldroubi, and M. Eden, "B-Spline signal processing: Part II-efficient design and applications," IEEE Trans. Signal Process., vol. 41, no. 2, pp. 834-848, Feb. 1993.
    • (1993) IEEE Trans. Signal Process , vol.41 , Issue.2 , pp. 834-848
    • Unser, M.1    Aldroubi, A.2    Eden, M.3
  • 76
    • 0032882168 scopus 로고    scopus 로고
    • Color schemes to represent the orientation of anisotropic tissues from diffusion tensor data: Application to white matter fiber tract mapping in the human brain
    • S. Pajevic and C. Pierpaoli, "Color schemes to represent the orientation of anisotropic tissues from diffusion tensor data: Application to white matter fiber tract mapping in the human brain," Magn. Reson. Med., vol. 42, no. 3, pp. 526-540, 1999.
    • (1999) Magn. Reson. Med , vol.42 , Issue.3 , pp. 526-540
    • Pajevic, S.1    Pierpaoli, C.2
  • 78
    • 0032835247 scopus 로고    scopus 로고
    • Optimal strategies for measuring diffusion in anisotropic systems by magnetic resonance imaging
    • D. K. Jones, M. A. Horsfield, and A. Simmons, "Optimal strategies for measuring diffusion in anisotropic systems by magnetic resonance imaging,"Magn. Reson. Med., vol. 42, pp. 515-525, 1999.
    • (1999) Magn. Reson. Med , vol.42 , pp. 515-525
    • Jones, D.K.1    Horsfield, M.A.2    Simmons, A.3
  • 79
    • 1842533406 scopus 로고    scopus 로고
    • The effect of gradient sampling schemes on measures derived from diffusion tensor MRI: A Monte Carlo study
    • D. K. Jones, "The effect of gradient sampling schemes on measures derived from diffusion tensor MRI: A Monte Carlo study," Magn. Reson. Med., vol. 51, pp. 807-815, 2004.
    • (2004) Magn. Reson. Med , vol.51 , pp. 807-815
    • Jones, D.K.1
  • 80
    • 0025465145 scopus 로고
    • Scale-space and edge detection using anisotropy diffusion
    • Jul
    • P. Perona and J. Malik, "Scale-space and edge detection using anisotropy diffusion," IEEE Trans. Pattern Anal. Mach. Intell., vol. 12, no. 7, pp. 629-639, Jul. 1990.
    • (1990) IEEE Trans. Pattern Anal. Mach. Intell , vol.12 , Issue.7 , pp. 629-639
    • Perona, P.1    Malik, J.2
  • 81
    • 79551688781 scopus 로고    scopus 로고
    • Anisotropy creases delineate white matter structure in diffusion tensor MRI
    • Proceedings MICCAI 2006. New York: Springer-Verlag
    • G. Kindlmann, X. Tricoche, and C.-F. Westin, "Anisotropy creases delineate white matter structure in diffusion tensor MRI," in Proceedings MICCAI 2006. New York: Springer-Verlag, 2006, vol. 4190, Lecture Notes Computer Science , pp. 126-133.
    • (2006) Lecture Notes Computer Science , vol.4190 , pp. 126-133
    • Kindlmann, G.1    Tricoche, X.2    Westin, C.-F.3
  • 82
    • 29344445901 scopus 로고    scopus 로고
    • Probabilities and statistics on Riemannian manifolds: A geometric approach INRIA, Sophia Antipolis, France
    • Tech. Rep. 5093, Jan
    • X. Pennec, Probabilities and statistics on Riemannian manifolds: A geometric approach INRIA, Sophia Antipolis, France, Tech. Rep. 5093, Jan. 2004.
    • (2004)
    • Pennec, X.1
  • 83
    • 33750276923 scopus 로고    scopus 로고
    • Clinical DT-MRI estimation, smoothing and fiber tracking with log-euclidean metrics
    • Arlington, VA, Apr
    • P. Fillard, V. Arsigny, X. Pennec, and N. Ayache, "Clinical DT-MRI estimation, smoothing and fiber tracking with log-euclidean metrics," in Proc. ISBI 2006, Arlington, VA, Apr. 2006, pp. 786-789.
    • (2006) Proc. ISBI 2006 , pp. 786-789
    • Fillard, P.1    Arsigny, V.2    Pennec, X.3    Ayache, N.4
  • 85
    • 0242276277 scopus 로고    scopus 로고
    • DT-MRI images: Estimation, regularization and application
    • Proceedings EUROCAST. New York: Springer-Verlag
    • D. Tschumperlé and R. Deriche, "DT-MRI images: Estimation, regularization and application," in Proceedings EUROCAST. New York: Springer-Verlag, 2003, vol. 2809, Lecture Notes Computer Science, pp. 530-541.
    • (2003) Lecture Notes Computer Science , vol.2809 , pp. 530-541
    • Tschumperlé, D.1    Deriche, R.2
  • 86
    • 4043092662 scopus 로고    scopus 로고
    • A constrained variational principle for direct estimation and smoothing of the diffusion tensor field from complex DWI
    • Aug
    • Z. Wang, B. C. Vemuri, Y. Chen, and T. H. Mareci, "A constrained variational principle for direct estimation and smoothing of the diffusion tensor field from complex DWI," IEEE Trans. Med. Imag., vol. 23, no. 8, pp. 930-939, Aug. 2004.
    • (2004) IEEE Trans. Med. Imag , vol.23 , Issue.8 , pp. 930-939
    • Wang, Z.1    Vemuri, B.C.2    Chen, Y.3    Mareci, T.H.4
  • 87
    • 33645760884 scopus 로고    scopus 로고
    • Investigation of anomalous estimates of tensor-derived quantities in diffusion tensor imaging
    • C. G. Koay, J. D. Carew, A. L. Alexander, P. J. Basser, and M. E. Meyerand, "Investigation of anomalous estimates of tensor-derived quantities in diffusion tensor imaging," Magn. Reson. Med., vol. 55, pp. 930-936, 2006.
    • (2006) Magn. Reson. Med , vol.55 , pp. 930-936
    • Koay, C.G.1    Carew, J.D.2    Alexander, A.L.3    Basser, P.J.4    Meyerand, M.E.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.